JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (10): 54-58.doi: 10.6040/j.issn.1671-9352.0.2015.496

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On the 2-harmonic timelike submanifolds in locally symmetric pseudo-riemannian manifolds

HE Chao, LI Ying, SONG Wei-dong*   

  1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2015-10-20 Online:2016-10-20 Published:2016-10-17

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Abstract: Based on the moving frames, the 2-harmonic timelike submanifolds in locally symmetric pseudo-Riemannian manifolds is studied. Also, an integral inequality of Simonss type and a pinching theorem about the squared norm of the second fundamental form in this submanifolds are obtained.

Key words: locally symmetric, 2-harmonic timelike submanifold, maximun timelike, pseudo-Riemannian manifold

CLC Number: 

  • O186.12
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